subroutine mradb5 (m,ido,l1,cc,im1,in1,ch,im2,in2,wa1,wa2,wa3,wa4)

!*****************************************************************************80
!
!! MRADB5 is an FFTPACK5.1 auxilliary function.
!
!  License:
!
!    Licensed under the GNU General Public License (GPL).
!    Copyright (C) 1995-2004, Scientific Computing Division,
!    University Corporation for Atmospheric Research
!
!  Modified:
!
!    15 November 2011
!
!  Author:
!
!    Original FORTRAN77 version by Paul Swarztrauber, Richard Valent.
!    FORTRAN90 version by John Burkardt.
!
!  Reference:
!
!    Paul Swarztrauber,
!    Vectorizing the Fast Fourier Transforms,
!    in Parallel Computations,
!    edited by G. Rodrigue,
!    Academic Press, 1982.
!
!    Paul Swarztrauber,
!    Fast Fourier Transform Algorithms for Vector Computers,
!    Parallel Computing, pages 45-63, 1984.
!
!  Parameters:
!
  implicit none

  integer ( kind = 4 ) ido
  integer ( kind = 4 ) in1
  integer ( kind = 4 ) in2
  integer ( kind = 4 ) l1

  real ( kind = 8 ) arg
  real ( kind = 8 ) cc(in1,ido,5,l1)
  real ( kind = 8 ) ch(in2,ido,l1,5)
  integer ( kind = 4 ) i
  integer ( kind = 4 ) ic
  integer ( kind = 4 ) idp2
  integer ( kind = 4 ) im1
  integer ( kind = 4 ) im2
  integer ( kind = 4 ) k
  integer ( kind = 4 ) m
  integer ( kind = 4 ) m1
  integer ( kind = 4 ) m1d
  integer ( kind = 4 ) m2
  integer ( kind = 4 ) m2s
  real ( kind = 8 ) ti11
  real ( kind = 8 ) ti12
  real ( kind = 8 ) tr11
  real ( kind = 8 ) tr12
  real ( kind = 8 ) wa1(ido)
  real ( kind = 8 ) wa2(ido)
  real ( kind = 8 ) wa3(ido)
  real ( kind = 8 ) wa4(ido)

  m1d = (m-1)*im1+1
  m2s = 1-im2
  arg= 2.0D+00 * 4.0D+00 * atan ( 1.0D+00 ) / 5.0D+00
  tr11=cos(arg)
  ti11=sin(arg)
  tr12=cos( 2.0D+00 *arg)
  ti12=sin( 2.0D+00 *arg)

      do 101 k = 1, l1
      m2 = m2s
      do 1001 m1=1,m1d,im1
         m2 = m2+im2
         ch(m2,1,k,1) = cc(m1,1,1,k)+ 2.0D+00 *cc(m1,ido,2,k) &
           + 2.0D+00 *cc(m1,ido,4,k)
         ch(m2,1,k,2) = (cc(m1,1,1,k)+tr11* 2.0D+00 *cc(m1,ido,2,k) &
         +tr12* 2.0D+00 *cc(m1,ido,4,k))-(ti11* 2.0D+00 *cc(m1,1,3,k) &
         +ti12* 2.0D+00 *cc(m1,1,5,k))
         ch(m2,1,k,3) = (cc(m1,1,1,k)+tr12* 2.0D+00 *cc(m1,ido,2,k) &
         +tr11* 2.0D+00 *cc(m1,ido,4,k))-(ti12* 2.0D+00 *cc(m1,1,3,k) &
         -ti11* 2.0D+00 *cc(m1,1,5,k))
         ch(m2,1,k,4) = (cc(m1,1,1,k)+tr12* 2.0D+00 *cc(m1,ido,2,k) &
         +tr11* 2.0D+00 *cc(m1,ido,4,k))+(ti12* 2.0D+00 *cc(m1,1,3,k) &
         -ti11* 2.0D+00 *cc(m1,1,5,k))
         ch(m2,1,k,5) = (cc(m1,1,1,k)+tr11* 2.0D+00 *cc(m1,ido,2,k) &
         +tr12* 2.0D+00 *cc(m1,ido,4,k))+(ti11* 2.0D+00 *cc(m1,1,3,k) &
         +ti12* 2.0D+00 *cc(m1,1,5,k))
 1001          continue
  101 continue

      if (ido == 1) return
      idp2 = ido+2
      do 103 k = 1, l1
         do 102 i=3,ido,2
            ic = idp2-i
            m2 = m2s
      do 1002 m1=1,m1d,im1
        m2 = m2+im2
        ch(m2,i-1,k,1) = cc(m1,i-1,1,k)+(cc(m1,i-1,3,k)+cc(m1,ic-1,2,k)) &
        +(cc(m1,i-1,5,k)+cc(m1,ic-1,4,k))
        ch(m2,i,k,1) = cc(m1,i,1,k)+(cc(m1,i,3,k)-cc(m1,ic,2,k)) &
        +(cc(m1,i,5,k)-cc(m1,ic,4,k))
        ch(m2,i-1,k,2) = wa1(i-2)*((cc(m1,i-1,1,k)+tr11* &
       (cc(m1,i-1,3,k)+cc(m1,ic-1,2,k))+tr12 &
        *(cc(m1,i-1,5,k)+cc(m1,ic-1,4,k)))-(ti11*(cc(m1,i,3,k) &
        +cc(m1,ic,2,k))+ti12*(cc(m1,i,5,k)+cc(m1,ic,4,k)))) &
        -wa1(i-1)*((cc(m1,i,1,k)+tr11*(cc(m1,i,3,k)-cc(m1,ic,2,k)) &
        +tr12*(cc(m1,i,5,k)-cc(m1,ic,4,k)))+(ti11*(cc(m1,i-1,3,k) &
        -cc(m1,ic-1,2,k))+ti12*(cc(m1,i-1,5,k)-cc(m1,ic-1,4,k))))

        ch(m2,i,k,2) = wa1(i-2)*((cc(m1,i,1,k)+tr11*(cc(m1,i,3,k) &
        -cc(m1,ic,2,k))+tr12*(cc(m1,i,5,k)-cc(m1,ic,4,k))) &
        +(ti11*(cc(m1,i-1,3,k)-cc(m1,ic-1,2,k))+ti12 &
        *(cc(m1,i-1,5,k)-cc(m1,ic-1,4,k))))+wa1(i-1) &
        *((cc(m1,i-1,1,k)+tr11*(cc(m1,i-1,3,k) &
        +cc(m1,ic-1,2,k))+tr12*(cc(m1,i-1,5,k)+cc(m1,ic-1,4,k))) &
        -(ti11*(cc(m1,i,3,k)+cc(m1,ic,2,k))+ti12 &
        *(cc(m1,i,5,k)+cc(m1,ic,4,k))))
        ch(m2,i-1,k,3) = wa2(i-2) &
        *((cc(m1,i-1,1,k)+tr12*(cc(m1,i-1,3,k)+cc(m1,ic-1,2,k)) &
        +tr11*(cc(m1,i-1,5,k)+cc(m1,ic-1,4,k)))-(ti12*(cc(m1,i,3,k) &
        +cc(m1,ic,2,k))-ti11*(cc(m1,i,5,k)+cc(m1,ic,4,k)))) &
       -wa2(i-1) &
       *((cc(m1,i,1,k)+tr12*(cc(m1,i,3,k)- &
        cc(m1,ic,2,k))+tr11*(cc(m1,i,5,k)-cc(m1,ic,4,k))) &
        +(ti12*(cc(m1,i-1,3,k)-cc(m1,ic-1,2,k))-ti11 &
        *(cc(m1,i-1,5,k)-cc(m1,ic-1,4,k))))

        ch(m2,i,k,3) = wa2(i-2) &
       *((cc(m1,i,1,k)+tr12*(cc(m1,i,3,k)- &
        cc(m1,ic,2,k))+tr11*(cc(m1,i,5,k)-cc(m1,ic,4,k))) &
        +(ti12*(cc(m1,i-1,3,k)-cc(m1,ic-1,2,k))-ti11 &
        *(cc(m1,i-1,5,k)-cc(m1,ic-1,4,k)))) &
        +wa2(i-1) &
        *((cc(m1,i-1,1,k)+tr12*(cc(m1,i-1,3,k)+cc(m1,ic-1,2,k)) &
        +tr11*(cc(m1,i-1,5,k)+cc(m1,ic-1,4,k)))-(ti12*(cc(m1,i,3,k) &
        +cc(m1,ic,2,k))-ti11*(cc(m1,i,5,k)+cc(m1,ic,4,k))))

        ch(m2,i-1,k,4) = wa3(i-2) &
        *((cc(m1,i-1,1,k)+tr12*(cc(m1,i-1,3,k)+cc(m1,ic-1,2,k)) &
        +tr11*(cc(m1,i-1,5,k)+cc(m1,ic-1,4,k)))+(ti12*(cc(m1,i,3,k) &
        +cc(m1,ic,2,k))-ti11*(cc(m1,i,5,k)+cc(m1,ic,4,k)))) &
        -wa3(i-1) &
       *((cc(m1,i,1,k)+tr12*(cc(m1,i,3,k)- &
        cc(m1,ic,2,k))+tr11*(cc(m1,i,5,k)-cc(m1,ic,4,k))) &
        -(ti12*(cc(m1,i-1,3,k)-cc(m1,ic-1,2,k))-ti11 &
        *(cc(m1,i-1,5,k)-cc(m1,ic-1,4,k))))

        ch(m2,i,k,4) = wa3(i-2) &
       *((cc(m1,i,1,k)+tr12*(cc(m1,i,3,k)- &
        cc(m1,ic,2,k))+tr11*(cc(m1,i,5,k)-cc(m1,ic,4,k))) &
        -(ti12*(cc(m1,i-1,3,k)-cc(m1,ic-1,2,k))-ti11 &
        *(cc(m1,i-1,5,k)-cc(m1,ic-1,4,k)))) &
        +wa3(i-1) &
        *((cc(m1,i-1,1,k)+tr12*(cc(m1,i-1,3,k)+cc(m1,ic-1,2,k)) &
        +tr11*(cc(m1,i-1,5,k)+cc(m1,ic-1,4,k)))+(ti12*(cc(m1,i,3,k) &
        +cc(m1,ic,2,k))-ti11*(cc(m1,i,5,k)+cc(m1,ic,4,k))))

        ch(m2,i-1,k,5) = wa4(i-2) &
        *((cc(m1,i-1,1,k)+tr11*(cc(m1,i-1,3,k)+cc(m1,ic-1,2,k)) &
        +tr12*(cc(m1,i-1,5,k)+cc(m1,ic-1,4,k)))+(ti11*(cc(m1,i,3,k) &
        +cc(m1,ic,2,k))+ti12*(cc(m1,i,5,k)+cc(m1,ic,4,k)))) &
        -wa4(i-1) &
        *((cc(m1,i,1,k)+tr11*(cc(m1,i,3,k)-cc(m1,ic,2,k)) &
        +tr12*(cc(m1,i,5,k)-cc(m1,ic,4,k)))-(ti11*(cc(m1,i-1,3,k) &
        -cc(m1,ic-1,2,k))+ti12*(cc(m1,i-1,5,k)-cc(m1,ic-1,4,k))))

        ch(m2,i,k,5) = wa4(i-2) &
        *((cc(m1,i,1,k)+tr11*(cc(m1,i,3,k)-cc(m1,ic,2,k)) &
        +tr12*(cc(m1,i,5,k)-cc(m1,ic,4,k)))-(ti11*(cc(m1,i-1,3,k) &
        -cc(m1,ic-1,2,k))+ti12*(cc(m1,i-1,5,k)-cc(m1,ic-1,4,k)))) &
        +wa4(i-1) &
        *((cc(m1,i-1,1,k)+tr11*(cc(m1,i-1,3,k)+cc(m1,ic-1,2,k)) &
        +tr12*(cc(m1,i-1,5,k)+cc(m1,ic-1,4,k)))+(ti11*(cc(m1,i,3,k) &
        +cc(m1,ic,2,k))+ti12*(cc(m1,i,5,k)+cc(m1,ic,4,k))))

 1002      continue
  102    continue
  103 continue

  return
end
